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966975560056 = 231115172770587
BaseRepresentation
bin11100001001001000011…
…11000001100101111000
310102102221012010001110201
432010210033001211320
5111320331220410211
62020120014051544
7126601361434012
oct16044417014570
93372835101421
10966975560056
11343101549420
121374a61a9bb4
1370254442c0c
1434b324731b2
151a24736c0c1
hexe1243c1978

966975560056 has 32 divisors (see below), whose sum is σ = 1991003287680. Its totient is φ = 436623516000.

The previous prime is 966975560009. The next prime is 966975560059. The reversal of 966975560056 is 650065579669.

It is a super-2 number, since 2×9669755600562 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 966975560056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966975560059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36372006 + ... + 36398581.

It is an arithmetic number, because the mean of its divisors is an integer number (62218852740).

Almost surely, 2966975560056 is an apocalyptic number.

It is an amenable number.

966975560056 is an abundant number, since it is smaller than the sum of its proper divisors (1024027727624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

966975560056 is a wasteful number, since it uses less digits than its factorization.

966975560056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72770755 (or 72770751 counting only the distinct ones).

The product of its (nonzero) digits is 91854000, while the sum is 64.

The spelling of 966975560056 in words is "nine hundred sixty-six billion, nine hundred seventy-five million, five hundred sixty thousand, fifty-six".

Divisors: 1 2 4 8 11 22 44 88 151 302 604 1208 1661 3322 6644 13288 72770587 145541174 291082348 582164696 800476457 1600952914 3201905828 6403811656 10988358637 21976717274 43953434548 87906869096 120871945007 241743890014 483487780028 966975560056